Answer:
The drift angle is approximately 7.65° towards the East from the plane's heading
Step-by-step explanation:
The speed of the plane = 350 mph
The direction in which the plane flies N 40° E = 50° counterclockwise from the eastern direction
The speed of the wind = 40 mph
The direction of the wind = S 70° E = 20° clockwise from the eastern direction
The component velocities of the plane are;
[tex]R_{Plane}[/tex] = (350 × cos 50)·i + (350 × sin 50)·j
[tex]R_{Wind}[/tex] = (40 + cos 20)·i - (40 × sin 40)·j
The resultant speed of the plane = [tex]R_{Plane}[/tex] + [tex]R_{Wind}[/tex] = 265.915·i +242.404·j
The direction the plane is heading = tan⁻¹(242.404/265.915) ≈ 42.35°
Therefore, the drift angle = Actual Angle - Direction of the plane = 50 - 42.35 ≈ 7.65° towards the East
Answer: A. 5.89
Step-by-step explanation:
edge2020
We are planning a reception for our daughter. The hall that we are renting charges a $90 cleanup fee. In addition to the cleanup fee, they charge $29 per guest for food and drinks.
If we have $3,100.00 available, what is the maximum number of guest we can invite without going over our budget?
Answer:
The equation is y = 29x + 90. So, if you plug in 3,100.00 for y.
3,100.00 = 29x + 90
3,100.00 - 90 = 29x
3,010.00 = 29x
3,010.00/29 = 29x/29
x = 103 guests
Solve for c.
a (b – c) = d
a) c= d - ab/a
b) c= ab – d/b
c) c= ab – d/a
d) c= ab + d/а
Answer:
[tex]c=\frac{ab-d}{a}[/tex]
Therefore, the option 'c' is true
Step-by-step explanation:
Given the expression
[tex]a (b - c) = d[/tex]
Let's solve for c
[tex]a (b - c) = d[/tex]
Step 1: Add -ab to both sides
[tex]ab-ac+\left(-ab\right)=d+\left(-ab\right)[/tex]
[tex]-ac=-ab+d[/tex]
Step 2: Divide both sides by -a
[tex]\frac{-ac}{-a}=\frac{-ab+d}{-a}[/tex]
[tex]c=\frac{ab-d}{a}[/tex]
Hence, we conclude that:
[tex]c=\frac{ab-d}{a}[/tex]
Therefore, the option 'c' is true
Answer:
C) c=ad-d/a
Step-by-step explanation:
just took the test
Every week, Hector’s 20 hours earns $210.00. He earns a constant amount of money per hour.
Part B
Write an equation that can be used to determine Hector's earnings, in dollars, m, for h hours of work.
Answer: 20 weeks in 1 week
in 2 weeks 40
Step-by-step explanation:
This proves that the equation is true
Charlotte makes crepes using 5/8 cup of milk for every 1/2 cup of flour. She wants to know the amount of milk uses per cup of flour.
Answer:
1 1/4
Step-by-step explanation:
I got it right.
The milk uses per cup of flour will be 5/4 cups of milk per cup of flour.
What is Algebra?Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.
Charlotte makes crepes using 5/8 cups of milk for every 1/2 cup of flour.
She wants to know the amount of milk used per cup of flour. Then we have
⇒ (5/8) ÷ (1/2)
⇒ (5 / 8) x (2 / 1)
⇒ 5 / 4 cups of milk per cup of flour
The milk uses per cup of flour will be 5/4 cups of milk per cup of flour.
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Please ANSWER Correctly The Question will be Placed first then the graphs will be placed in order for answer choices from A - D
Answer:
C
Step-by-step explanation:
Answer:
Option C
Step-by-step explanation:
By looking at the points for (x,y) in the tables, we notice that the only graph that has the points at (-1,-3), (1,2) and you can assume the other points will be on the graph from the table.
a quiz has 25 questions every correct answer scores 3 points Each incorrect answer loses 2 points. A question not answered scored 0 points. a student answers 15 questions 10 are correct how many points does he have?
Answer:
20
Step-by-step explanation:
10x3=30
5x-2=-10
10x0=0
30-10=20
20 points
Solve for x and then find the measure of angle, A.
Answer:
x = 25 ; m∠A = 148°
Step-by-step explanation:
∠A ≅ ∠B (alternate exterior angles)
(6x - 2)° = (4x + 48)°
2x = 50
x = 25
m∠A = 6(25) - 2 = 148°
your bill is $9.99. you leave a 10% tip. what is the final price of your meal?
In the following activity, write an equation to represent each verbal statement, and use it to find the value of each unknown number. Then, put the solution values in order from smallest to largest. [Note: The smallest solution is "first", and the largest solution is "fifth".]
1. fourth
Half of a number is added to four. This sum is equivalent to negative one.
2. first
The sum of a number and three is divided by five. The result is negative two.
3. third
The difference between four times a number and five has a result of negative eight.
4. second
The difference between a number and five is multiplied by negative two. The
resulting product equals fourteen.
5. fifth
The sum of a number and two is equal to the quotient of six and negative four.
I WILL GIVE BRAINLEST
Answer:
First x=-13 (The sum of a number and three is divided by five. The result is negative two.)
Second x=-10 (Half of a number is added to four. This sum is equivalent to negative one.)
Third x=-3.5 (The sum of a number and two is equal to the quotient of six and negative four.)
Fourth x=3.25 (The difference between four times a number and five has a result of negative eight.)
Fifth x=12 ( The difference between a number and five is multiplied by negative two. The resulting product equals fourteen. )
Step-by-step explanation:
We will consider number = x
1. Half of a number is added to four. This sum is equivalent to negative one.
[tex]\frac{1}{2}x+4=-1[/tex]
Now solving to find value of x
[tex]\frac{1}{2}x+4=-1\\\frac{1}{2}x=-1-4\\\frac{1}{2}x=-5\\x=-5*2\\x=-10[/tex]
So, value of x=-10
2. The sum of a number and three is divided by five. The result is negative two.
[tex]\frac{x+3}{5}=-2[/tex]
Solving:
[tex]\frac{x+3}{5}=-2\\x+3=-2*5\\x+3=-10\\x=-10-3\\x=-13[/tex]
So, value of x=-13
3. The difference between four times a number and five has a result of negative eight.
[tex]4x-5=-8[/tex]
Solving:
[tex]4x-5=8\\4x=8+5\\4x=13\\x=13/4\\x=3.25[/tex]
So, value of x=3.25
4. The difference between a number and five is multiplied by negative two. The resulting product equals fourteen.
[tex](x-5)*-2=-14[/tex]
Solving
[tex](x-5)*-2=-14\\-2x+10=-14\\-2x=-14-10\\-2x=-24\\x=-24/-2\\x=12[/tex]
So, value of x=12
5. The sum of a number and two is equal to the quotient of six and negative four.
[tex]x+2=\frac{6}{-4}[/tex]
Solving:
[tex]x+2=\frac{6}{-4}\\x+2=-\frac{3}{2}\\x= -\frac{3}{2}-2\\x=\frac{-3-2*2}{2} \\x=\frac{-3-4}{2} \\x=\frac{-7}{2} \\x=-3.5[/tex]
So, value of x=-3.5
Now arranging based on values of x
x=-10, x=-13, x=3.25, x=12, x=-3.5
First x=-13 (The sum of a number and three is divided by five. The result is negative two.)
Second x=-10 (Half of a number is added to four. This sum is equivalent to negative one.)
Third x=-3.5 (The sum of a number and two is equal to the quotient of six and negative four.)
Fourth x=3.25 (The difference between four times a number and five has a result of negative eight.)
Fifth x=12 ( The difference between a number and five is multiplied by negative two. The resulting product equals fourteen. )
HELP ASAP
i need too know these
Answer:
3. y = 4
4. y = 40
Step-by-step explanation:
3. To find y, input the value of 2 for x in the equation y = 3x - 2.
y = 3(2) - 2
y = 6 - 2
y = 4
y is 4 when x is 2.
4. To find the answer we first have to make an equation in y=mx + b form, where b is the y-intercept and m is the slope. We know that the y-intercept is -5 because the table tells us that when x is zero, y is -5. So, we can use the y-intercept and a point In this example I will use point (6, 13)) to find the slope:
Input the values you know into the equation:
13 = 6m - 5
Add 5 to both sides to isolate the 6m:
18 = 6m
Divide both sides by 6 to isolate the m:
3 = m
Our slope is 3. Now that we know the slope and y-intercept, we can make our equation:
y = 3x - 5
We can use this equation to find y when x is 15:
Input 15 in place of x:
y = 3(15) - 5
Solve:
y = 45 -5
y = 40
When x is 15, y is 40.
Hope this helps :)
Xiaoming is making cookies. Each batch of cookies uses3 eggs. If Xiaoming has 20 eggs, and assuming he has enough of the other ingredients to make the cookies what is the greatest number of batches that he can make ?
Answer:
6
Step-by-step explanation:
3(1)=3 3(2)=6 3(3)=9 3(4)=12 3(5)=15
3(6)=18 3(7)=21 3(8)=24
----------------------------------------------------
3(6)=18 is closest to 20
so the greatest number of batches Xiaoming can make is 6.
The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $7 and each adult ticket sells for $9.50. There was a total of $883.50 in revenue from all ticket sales and the drama club sold 27 more adult tickets than student tickets. Determine the number of student tickets sold and the number of adult tickets sold.
Answer:
Student tickets 38 and adult tickets 65
Step-by-step explanation:
38x7= $266
65x9.5= $617.50
$266+$617.50=$883.50
Which equation has x = -i and x = = 21v3 as two of its solutions?
Answer:
The equation in option A is correct.
Step-by-step explanation:
Given the equation
[tex]\:y=x^4+13x^2+12[/tex]
Let us find the solution by setting y=0
[tex]x^4+13x^2+12=0\:\:\:\:\:[/tex]
[tex]\mathrm{Rewrite\:the\:equation\:with\:}u=x^2\mathrm{\:and\:}u^2=x^4[/tex]
[tex]u^2+13u+12=0[/tex]
if [tex]ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)[/tex]
[tex]u+1=0\quad \mathrm{or}\quad \:u+12=0[/tex]
[tex]u=-1,\:u=-12[/tex]
[tex]\mathrm{Substitute\:back}\:u=x^2,\:\mathrm{solve\:for}\:x[/tex]
[tex]x^2=-1,\:x^2=-12[/tex]
solving
[tex]x^2=-1[/tex]
[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]x=\sqrt{-1},\:x=-\sqrt{-1}[/tex]
[tex]x=i,\:x=-i[/tex] ∵ [tex]\:\sqrt{-1}=i[/tex]
solving
[tex]x^2=-12[/tex]
[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]x=\sqrt{-12},\:x=-\sqrt{-12}[/tex]
[tex]x=2\sqrt{3}i,\:x=-2\sqrt{3}i[/tex]
Hence, the solutions are:
[tex]x=i,\:x=-i,\:x=2\sqrt{3}i,\:x=-2\sqrt{3}i[/tex]
Therefore, the equation in option A is correct.
-3/8(-4y+z) what is the answer to this? By simplifying.
Answer:
3y/2 - 3z/8 is the answer
Answer:
Step-by-step explanation:
Determine how (if possible) the triangles can be proved similar.
Answer:
It's not similar :)
hope this helps<3
The triangles are not similar because the sides are not proportional.
What are Similar Triangles?Similar triangles are those triangles which has the same shape but different size.
The length of sides and angles are proportional in similar triangles.
So we know that length of sides are proportional.
If we find the ratio of corresponding sides of the two triangles, then they must be equal to a common value.
We have only the length of two sides of each triangle.
If those sides are proportional, we must have an angle of each triangle to be equal.
Here, the angles formed by the intersecting lines are vertical angles and are thus equal.
Let's look if the sides are proportional.
20 / 36 = 5/9
24 / 42 = 4/7
Sides are not proportional.
Hence the given triangles are not similar.
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i need help with the group 1 and group 2, what do i write in the boxes :((
YOU GET CORRECT YOU GET BRAINLIEST!!!!!!!
Answer: 6
Step-by-step explanation:
⬚︎ - 5 = 6. what is the value of the square
11 is the value of the square
Question 6 (5 points)
(03.02 MC)
What is the length of the third side of the window frame below? (5 points)
(Figure is not drawn to scale.)
30 inches
36 inches
50 inches
75 inches
Answer:
30 inches
Step-by-step explanation:
using a^2+b^2=c^2
72^2=5184
30^2=900
5184+900=6084
√6084=78
Answer:
30
Step-by-step explanation:
isolate the variable on the following problem. show your work.
11z= 4
Figure PQRS is shown below.
(Figure P Q R S has 4 congruent sides. 2 angles are right angles.)
Which names accurately describe figure PQRS? Select three options.
- parallelogram
- pentagon
- rectangle
- rhombus
- trapezoid
Thanks! Will be awarding brainliest to the person who answers the quickest.
Answer:
parallelogram, rectangle, rhombus
Step-by-step explanation:
have a wonderful day
Parallelogram, rectangle, rhombus names accurately describe figure PQRS.
What is Quadrilateral?A quadrilateral is a four-sided polygon, having four edges and four corners.
The given figure PQRS is a quadrilateral.
A parallelogram is a two-dimensional geometrical shape whose sides are parallel to each other.
A rectangle is a special case of a parallelogram in which each pair of adjacent sides is perpendicular.
A rhombus is a quadrilateral whose four sides all have the same length.
The figure satisfies the properties of parallelogram, rectangle and rhombus.
Hence, parallelogram, rectangle, rhombus names accurately describe figure PQRS.
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Coach South and Mr. Dr. Coach Rhodes are having a problem solving competition. Mr. Dr. Coach Rhodes can solve four more problems than twice the number of Coach South. If Mr. Dr. COach Rhodes has solved twenty problems, how many problems has Coach South solved?
Answer: 8
Step-by-step explanation: if Coach Rhodes solves 4 more than twice Coach South then that would mean Coach South solves 8.
Twice 8 equals 16, plus 4 equals 20.
a rental car company charges a customer $60 plus $0.32 per mile. write the equation that best describes the relationship between the cost, y, of renting the car and the number of miles, x, the car was driven
Answer:
0.32x + 60= y
Step-by-step explanation:
What is the y-intercept of the function f()=4-5x?
Answer:
Step-by-step explanation:
4
4x+5y=9
4x−2y=2
x= y=
Answer:
For example, the solution to the equations 2x + 3y = 15 and x - y = -10 is x = -3 ... Equation 2: 4x + 2y = 20
Answer:
x=0, y=0 this is so easy
Which expression could be used to determine the cost of a $50 video game after a 20 percent discount?
50 dollars (0.20)
50 dollars minus left-bracket (50 dollars) (0.08) right-bracket
50 dollars minus 0.80
50 dollars (0.80). please a b c or d?
Answer:
d
Step-by-step explanation:
to find a discount you would multiply 50(0.20) whatever amount you get you would subtract that from 50
this is the same as 50(0.80)
I need help and the time is running please help
Answer:
I think its B
Step-by-step explanation:
I'm sorry if I'm wrong. I'm busy
Answer:
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Question 2 plz help I’ll try my best to mark brainliest
Answer:
F. [tex]\sqrt{x}[/tex]
Step-by-step explanation:
if you replace x with 2 and plug these into your calculator, you can see that [tex]\sqrt{x}[/tex] has the least value
PLEASE HELP ASAP!!! Normal people- me- I WILL MARK FIRST ANSWER BRAINLIEST BUT IT HAS TO BE AN ACTUAL ANSWER (the question is in the image)
Answer:
It would be B
Step-by-step explanation:
PLEASE HELP AS SOON AS POSSIBLE (THANK YOU VERY MUCH IF YOU DO)
Answer:In this equation, we can start by understanding that "x" has a value of 8, as given in the ordered pair. When multiplied by 5, this leads to "40 - 2y = 30". Next, we can subtract 40 from both sides of the equation. This leads us to a value of "-2y = -10". The next step would be to divide both sides by -2 as a way of isolating "y", which leads us to a final value of "y = 5". The final ordered pair would be (8,5).
Step-by-step explanation: